Evaluate
\frac{1}{6m}
Differentiate w.r.t. m
-\frac{1}{6m^{2}}
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\frac{8\times 2}{6m}-\frac{5\times 3}{6m}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3m and 2m is 6m. Multiply \frac{8}{3m} times \frac{2}{2}. Multiply \frac{5}{2m} times \frac{3}{3}.
\frac{8\times 2-5\times 3}{6m}
Since \frac{8\times 2}{6m} and \frac{5\times 3}{6m} have the same denominator, subtract them by subtracting their numerators.
\frac{16-15}{6m}
Do the multiplications in 8\times 2-5\times 3.
\frac{1}{6m}
Do the calculations in 16-15.
Examples
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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